I'll write "x" instead theta.
sin x + 1 = cos(2x)
formula: cos(2x) = 1 - 2sin²x
sin x + 1 = 1 - 2sin²x
2sin²x + sin x = 0
sin x (2sin x + 1) = 0
sin x = 0 or sin x = -1/2
x1 = πk and x2 = -π/6 + 2πk and
x3 = 5π/6 + 2πk
for domain 0≤x<2π :
x1 = 0 (for k=0 in x1)
x2 = π (for k=1 in x1
x3 = 11π/6 (for k=1 in x2)
x4 = 5π/6 (for k=0 in x3).
k is an integral.
Answer:
$10.56
Step-by-step explanation:
Cross multiply and divide!
if the total cost is $176, multiply by the % of sales tax and divide by 100 (100%)
176 multiplied by 6% = 1,056
1,056 divided by 100% = $10.56
Kevin is 6 and Daniel is 3 now (i.e., K is 3 years older than D)
2 years ago K was 4 and D was 1 (i.e., K was 4 times as old as D)
The true statement about the graph's slope is (c) Its slope is zero.
<h3>How to determine the true statement?</h3>
From the question, we have:
A horizontal line is at y = 2.5.
The horizontal line implies that the cost of lunch do not change
Horizontal lines have a slope of 0
Hence, the true statement about the graph's slope is (c) Its slope is zero.
Read more about slope at:
brainly.com/question/3493733
#SPJ1
Roughly one plate and one cup costs about $2.35